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Finding the Fourth Proportional to 2,973.93, 4,460.93 and 1,414.09

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Solution

The fourth proportional to 2,973.93, 4,460.93 and 1,414.09 is: 2,121.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.93 : 4,460.93 = 1,414.09 : x
  2. Step 2: Convert to fraction form
    2,973.93/4,460.93 = 1,414.09/x
  3. Step 3: Cross multiply
    2,973.93x = 4,460.93 × 1,414.09
  4. Step 4: Simplify right side
    2,973.93x = 6,308,156.50
  5. Step 5: Solve for x
    x = 6,308,156.50/2,973.93
  6. Step 6: Final answer
    x = 2,121.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.